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Students in an introduction to statistics course were asked to describe their politics as Liberal, Moderate, or Conservative. The results are shown in the table.
Students in an introduction to statistics course were asked to describe their politics as "Liberal," "Moderate," or "Conservative." The results are shown in the table. Complete parts a through d below. Sex L M C Total Female 40 39 9 88 Male 54 45 21 120 Total 94 84 30 208 Question content area bottom Part 1 a) Find the conditional distribution (percentages) of political views for the females. L M C Females 45.5% 44.3% 10.2% (Round to one decimal place as needed.) Part 2 b) Find the conditional distribution (percentages) of political views for the males. L M C Males 45% 37.5% 17.5% (Round to one decimal place as needed.) Part 3 c) Make a graphical display that compares the two distributions. Choose the correct display below. A. F M 0 70 Percent A side-by-side bar chart has two groups of vertical bars labeled F and M and a vertical axis labeled Percent from 0 to 50 in increments of 10. The bars in each group are labeled as follows from left to right: Liberal, Moderate, Conservative. The approximate heights of the bars in each group are as follows from left to right: F, 43, 46, 30; M, 57, 54, 70. Conservative Moderate Liberal B. F M 0 50 Percent A side-by-side bar chart has two groups of vertical bars labeled F and M and a vertical axis labeled Percent from 0 to 50 in increments of 10. The bars in each group are labeled as follows from left to right: Liberal, Moderate, Conservative. The approximate heights of the bars in each group are as follows from left to right: F, 46, 44, 10; M, 45, 38, 18. Conservative Moderate Liberal C. L M C 0 70 Percent A side-by-side bar chart has three groups of vertical bars labeled L, M, and C and a vertical axis labeled Percent from 0 to 50 in increments of 10. The bars in each group are labeled as follows from left to right: female, male. The approximate heights of the bars in each group are as follows from left to right: L, 43, 57; M, 46, 54; C, 30, 70. Male Female D. L M C 0 50 Percent A side-by-side bar chart has three groups of vertical bars labeled L, M, and C and a vertical axis labeled Percent from 0 to 50 in increments of 10. The bars in each group are labeled as follows from left to right: female, male. The approximate heights of the bars in each group are as follows from left to right: L, 46, 45; M, 38, 44; C, 10, 18. Male Female Part 4 d) Do the variables sex and politics appear to be independent? Explain. They appear do not appear appear to be independent because the conditional distribution of politics is significantly different for at least one group exactly the same significantly different for at least one group roughly the same for the two sexes
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